Approximation by continuous rational maps into spheres
Wojciech Kucharz
Jagiellonian University, Krakow, Poland
Abstract
Investigated are continuous rational maps of nonsingular real algebraic varieties into spheres. In some cases, necessary and sufficient conditions are given for a continuous map to be approximable by continuous rational maps. In particular, each continuous map between unit spheres can be approximated by continuous rational maps.
Cite this article
Wojciech Kucharz, Approximation by continuous rational maps into spheres. J. Eur. Math. Soc. 16 (2014), no. 8, pp. 1555–1569
DOI 10.4171/JEMS/469